438141021696 has 480 divisors, whose sum is σ = 1529406278400. Its totient is φ = 125170956288.

The previous prime is 438141021683. The next prime is 438141021707. The reversal of 438141021696 is 696120141834.

438141021696 is a `hidden beast` number, since 4 + 381 + 4 + 102 + 169 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42669555 + ... + 42679821.

It is an arithmetic number, because the mean of its divisors is an integer number (3186263080).

Almost surely, 2^438141021696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438141021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764703139200).

438141021696 is an abundant number, since it is smaller than the sum of its proper divisors (1091265256704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

438141021696 is an frugal number, since it uses more digits than its factorization.

438141021696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 438141021696 in words is "four hundred thirty-eight billion, one hundred forty-one million, twenty-one thousand, six hundred ninety-six".